Bloch Sphere Visualization

An interactive visualization tool for exploring the Bloch sphere representation of qubit states and unitary operations. Built with ipywidgets, this app lets users intuitively rotate states on the sphere using SU(2) matrices and observe their geometric action in real time.

Developed as a supplement for the Lie Groups with Applications course with Quantum Formalism, this project helps students and researchers:

• Understand how elements of SU(2) act as rotations of qubit states
• Explore parameterized gates (e.g. $R_x(\theta), R_y(\theta), R_z(\theta)$)
• Visualize the action of matrix exponentials in real-time
• Develop geometric intuition for quantum gate design

Features:

• Real-time interactive Bloch sphere using ipywidgets and matplotlib
• User-controlled sliders for axis and angle of rotation
• Clear linkage between algebraic and geometric representations
• Educational framing for classroom demos or independent study

GitHub:
bloch-sphere-visualization